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Finding the Fourth Proportional to 282,799.84, 390,260.28 and 155,474.32

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Solution

The fourth proportional to 282,799.84, 390,260.28 and 155,474.32 is: 214,552.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,799.84 : 390,260.28 = 155,474.32 : x
  2. Step 2: Convert to fraction form
    282,799.84/390,260.28 = 155,474.32/x
  3. Step 3: Cross multiply
    282,799.84x = 390,260.28 × 155,474.32
  4. Step 4: Simplify right side
    282,799.84x = 60,675,451,656.01
  5. Step 5: Solve for x
    x = 60,675,451,656.01/282,799.84
  6. Step 6: Final answer
    x = 214,552.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.